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Lagrange Points Trivia Questions

How much do you really know about Lagrange Points? Below are 8 true or false statements. Click each one to reveal the answer and explanation.

1.

Objects at Lagrange points are completely stationary relative to the two larger bodies.

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Easy
✗ FALSE

They orbit the point in a halo or Lissajous trajectory; only the point itself is stationary in the rotating frame.

2.

There are exactly five Lagrange points in any two-body gravitational system.

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Easy
✓ TRUE

L1 through L5 are the only equilibrium solutions in the circular restricted three-body problem.

3.

The James Webb Space Telescope orbits the Sun-Earth L2 point, not Earth itself.

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Medium
✓ TRUE

Webb orbits L2, 1.5 million km from Earth, staying aligned with the Sun and Earth for thermal stability.

4.

Only spacecraft can occupy Lagrange points—natural objects like asteroids never do.

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Medium
✗ FALSE

Trojan asteroids share Jupiter's L4 and L5 points, and Earth has a small companion at L4 called 2010 TK7.

5.

Lagrange points exist only in systems with two massive bodies, like a planet and its moon.

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Medium
✓ TRUE

Lagrange points are defined in the circular restricted three-body problem, requiring two large bodies and one negligible mass.

6.

L4 and L5 are the only stable Lagrange points, able to hold objects for millions of years.

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Hard
✓ TRUE

L1, L2, and L3 are metastable; only L4 and L5 have gravitational wells that resist perturbations.

7.

A satellite at the Earth-Moon L1 point would always be in Earth's shadow and never see sunlight.

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Hard
✗ FALSE

L1 is between Earth and Moon but not in permanent shadow; its orbit can be designed to avoid eclipses.

8.

The L3 Lagrange point is always hidden behind the Sun, making it impossible to communicate with.

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Hard
✗ FALSE

L3 is behind the Sun from Earth's view, but communication is possible via relay satellites or when Earth moves.

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